American Shooting Centers, Wertheimer @ Hwy 6 (I think), used to be a great range.
Not exactly but very close. It's off a street called Westhiemer park way. It is in the middle of George bush park. It has 2, 3, 4, 600 yard ranges. Don't know if they still require it but u have to qualify to shoot past 300. It's just 3/5 shots at a 6" circle at 300 yards. Not difficult at all. If it s dry enough they even let u drive on the range.